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Finding the Third Proportional to 67,554.75 and 147,000.75

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Solution

The third proportional to 67,554.75 and 147,000.75 is: 319,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,554.75 : 147,000.75 = 147,000.75 : x
  2. Step 2: Convert to fraction form
    67,554.75/147,000.75 = 147,000.75/x
  3. Step 3: Cross multiply
    67,554.75x = 147,000.75 × 147,000.75
  4. Step 4: Simplify right side
    67,554.75x = 21,609,220,500.56
  5. Step 5: Solve for x
    x = 21,609,220,500.56/67,554.75
  6. Step 6: Final answer
    x = 319,877.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.